Hungary-Israel Binational 2008\2
Source:
November 5, 2008
probabilitycombinatorics proposedcombinatoricscoins
Problem Statement
For every natural number , is the probability that if a fair coin is tossed times, the number of times we get heads is 2008 more than the number of tails. What is the value of for which attains its maximum? (if there is more than one, describe all of them)